Are the integers q , r , and s consecutive?
(1) The average (arithmetic mean) of q , r , and s is r .
(2) r – q = s – r
(1) The average (arithmetic mean) of q , r , and s is r .
(2) r – q = s – r
BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course
Redeem
Featured Course
Target Test Prep GMAT OnDemand
Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.
- 715+ score guarantee — highest in the industry (99th percentile)
- 52 chapters · 1,500+ lessons · 4,000+ practice questions
- 400 hours of video · 1,500+ instructor-led HD smartboard lessons
- 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
- 24/7 live support + weekly Zoom office hours with GMAT instructors
- TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
- 1,200+ flashcards + AI-powered study assistant & daily calendar
- OnDemand, LiveTeach & GMAT Bootcamp formats available
- Also: GRE, SAT Math & Executive Assessment courses
- MBA Admissions Consulting now available
- 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
- 200,000+ students served
- 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★
5.0
(559 reviews)
130-pt guarantee
$0 to start
then $127/mo
consecutive numbers
Source: Beat The GMAT — Data Sufficiency |
(E)
from (1), we get 2r=p+q
numbers in arithmetic progression will satisfy this ...3, 5, 7 or 3, 14, 25
from (2) again the same thing 2r=p+q
numebers in AP will satisfy.
from (1), we get 2r=p+q
numbers in arithmetic progression will satisfy this ...3, 5, 7 or 3, 14, 25
from (2) again the same thing 2r=p+q
numebers in AP will satisfy.
GMATPowerPrep Test1= 740
GMATPowerPrep Test2= 760
Kaplan Diagnostic Test= 700
Kaplan Test1=600
Kalplan Test2=670
Kalplan Test3=570
GMATPowerPrep Test2= 760
Kaplan Diagnostic Test= 700
Kaplan Test1=600
Kalplan Test2=670
Kalplan Test3=570
E
stmnt 1: r=(q+r+s)/3
or q+s=2r
or r=(q+s)/2
=> r is at the midpoint of q and s
=> q,r,s are evenly spaced, need not be consecutive. not sufficient
stmnt 2: r-q=s-r
or r is at the midpoint of q and s (same info as stment 1)
together, no additonal info, not sufficient
stmnt 1: r=(q+r+s)/3
or q+s=2r
or r=(q+s)/2
=> r is at the midpoint of q and s
=> q,r,s are evenly spaced, need not be consecutive. not sufficient
stmnt 2: r-q=s-r
or r is at the midpoint of q and s (same info as stment 1)
together, no additonal info, not sufficient
anniev2 wrote:Is the correct answer, C?
IMO : E
Simple example 1,5,9
here avg =5 and median is also 5 --st 1
diff is 4 betwn each --st 2
but still not consecutive
It would be E as both statements provide the same info and each statement by itself is INSUFF
Stmt I
r+s+q/3 = r => 2r = q+s => r = q+s/2
1 3 5 NO
1 2 3 YES
insuff
Stmt II
2r = q+s => r = q+s/2
1 3 5 NO
1 2 3 YES
insuff
Together:
1 3 5 NO
1 2 3 YES
insuff
Choose E
Stmt I
r+s+q/3 = r => 2r = q+s => r = q+s/2
1 3 5 NO
1 2 3 YES
insuff
Stmt II
2r = q+s => r = q+s/2
1 3 5 NO
1 2 3 YES
insuff
Together:
1 3 5 NO
1 2 3 YES
insuff
Choose E
